Generating Solutions of Ricci-Based gravity theories from General Relativity

Understand

We generalize the algorithm that establishes the correspondence between metric-affine Eddington-inspired Born-Infeld (EiBI) gravity and General Relativity (GR) to any bosonic matter sector.

• Along the way, a polished version of the proof of existence of a metric compatible frame associated to any metric-affine Ricci-Based Gravity (RBG) is presented.
• Particular attention is given to the problem of generating solutions of a RBG from the GR conterpart, providing a general recipe for the EiBI case.
• This extends previous results obtained for specific matter that included anisotropic fluids, scalar fields and electromagnetic fields.